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Comparing meson-meson and diquark-antidiquark creation operators for a bar b bar b u d tetraquark

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arxiv 2108.11731 v1 pith:V7JOWBTK submitted 2021-08-26 hep-lat hep-ph

Comparing meson-meson and diquark-antidiquark creation operators for a bar b bar b u d tetraquark

classification hep-lat hep-ph
keywords diquark-antidiquarkmeson-mesontetraquarkcreationtextantiquarksaroundcompare
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compare two frequently discussed competing structures for a stable $\bar b \bar b u d$ tetraquark with quantum numbers $I(J^P) = 0(1^+)$ by considering a meson-meson as well as a diquark-antidiquark creation operator. We treat the heavy antiquarks as static with fixed positions and find diquark-antidiquark dominance for $\bar b \bar b$ separations $r < 0.2 \, \text{fm}$, while for $r > 0.5 \, \text{fm}$ the system essentially corresponds to a pair of $B$ mesons. For the meson-meson to diquark-antidiquark ratio of the tetraquark we obtain around $58\%/42\%$.

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